Bifurcations of solutions of the 2-dimensional Navier-Stokes system

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Abstract

For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.

Original languageEnglish (US)
Title of host publicationEssays in Mathematics and its Applications
Subtitle of host publicationIn Honor of Stephen Smale´s 80th Birthday
PublisherSpringer Berlin Heidelberg
Pages241-269
Number of pages29
ISBN (Electronic)9783642288210
ISBN (Print)9783642288203
DOIs
StatePublished - Jan 1 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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    Li, D., & Sinai, Y. G. (2012). Bifurcations of solutions of the 2-dimensional Navier-Stokes system. In Essays in Mathematics and its Applications: In Honor of Stephen Smale´s 80th Birthday (pp. 241-269). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-28821-0_10